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arXiv:1306.0454 · Journal of Physics A Mathematical and Theoretical

Bispectrality for the quantum open Toda chain

Evgeny Sklyanin

Published Sep 4, 2013• 19 citations
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Abstract

An alternative to Babelon (2003 Lett. Math. Phys. 65 229) construction of dual variables for the quantum open Toda chain is proposed that is based on the 2 × 2 Lax matrix and the corresponding quadratic R -matrix algebra.
DOI
10.1088/1751-8113/46/38/382001

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We reconstruct the canonical operators pi,qip_i,q_ipi​,qi​ of the quantum closed Toda chain in terms of Sklyanin's separated variables.